Workshop
| Registration Deadline: | December 15, 2000 almost 24 years ago |
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| To apply for Funding you must register by: | September 11, 2000 about 24 years ago |
| Parent Program: |
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Show List of Speakers
- Fabrizio Andreatta
- Nils Bruin
- Armand Brumer (Fordham University)
- John Cremona (University of Warwick)
- Henri Darmon (McGill University)
- Vinay Deolalikar
- Luis Dieulefait (University of Barcelona)
- Charles Doran (University of Alberta)
- Sylvain Duquesne
- Bas Edixhoven (Universiteit Leiden)
- Jordan Ellenberg (University of Wisconsin-Madison)
- Tom Fisher
- Enrique Gonzalez Jimenez
- Ki-ichiro Hashimoto
- Florian Hess
- David Kohel (Université d'Aix-Marseille (AMU))
- Leopoldo Kulesz
- Joan-Carles Lario
- Franz Lemmermeyer
- Qing Liu
- Dino Lorenzini
- Catherine O'Neil
- Fernando Rodriguez-Villegas
- Victor Rotger
- Takakazu Satoh
- Tanush Shaska (Oakland University; University of California, Irvine; University of Florida; Research Institute of Science and Technology)
- Alexandra Shlapentokh (East Carolina University)
- Alice Silverberg (University of California, Irvine)
- William Stein (University of Washington)
- Michael Stoll (Universität Bayreuth)
- Tom Tucker
- Helena Verrill (Louisiana State University)
- Rania Wazir
- Joseph Wetherell
The workshop will focus on the development of explicit and computational methods in arithmetic geometry, as well as the complexity analysis of existing algorithms. Topics include (but are not necessarily limited to) computational aspects of the following:
determination of rational points on curves and higher dimensional varieties
Mordell-Weil groups of elliptic curves and other abelian varieties
Selmer and Shafarevich-Tate groups
isogenies, endomorphism rings, and torsion subgroups of abelian varieties
minimal proper regular models of curves
Neron models and conductors of Jacobians
equations for modular curves and Shimura curves
function field analogues of all the above
zeta functions of curves and other varieties over finite fields.
The workshop will focus on the development of explicit and computational methods in arithmetic geometry, as well as the complexity analysis of existing algorithms. Topics include (but are not necessarily limited to) computational aspects of the following:
- determination of rational points on curves and higher dimensional varieties
- Mordell-Weil groups of elliptic curves and other abelian varieties
- Selmer and Shafarevich-Tate groups
- isogenies, endomorphism rings, and torsion subgroups of abelian varieties
- minimal proper regular models of curves
- Neron models and conductors of Jacobians
- equations for modular curves and Shimura curves
- function field analogues of all the above
- zeta functions of curves and other varieties over finite fields.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Show Funding
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Show Lodging
For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.
Show Directions to Venue
Show Visa/Immigration
Show Schedule, Notes/Handouts & Videos
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Dec 11, 2000 Monday |
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Dec 12, 2000 Tuesday |
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Dec 13, 2000 Wednesday |
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Dec 14, 2000 Thursday |
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Dec 15, 2000 Friday |
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